Calculus Answers

for the given function f(x) 2x+3/1-x find the slope of the tangent line at point x=2

The function f(x)=x2sin(x/2) is?

A. Periodic with 4π

B. Periodic with 2π

C. Periodic with 4π

D. it's not periodic

if f(z) is an analytical function of z, then prove that ( d^2/dx^2 + d^2/ dy^2) log |f(z)|= 0

Question  2

Evaluate the definite integral         

"\\intop"¹₀ 18e^3x+1dx (round to an integer).

1.      322

2.      311

3.      932

4.      965

Prove that any polynomial of odd degree has atleast one real root

Given the demand function

Pd = 35 − Q2,

and the supply function

Ps = 3 + Q2.

Calculate the producer surplus for the supply function.

Find the volume of the cube bounded by the coordinate planes and the planes X=2 y=2 and z=2 in the first octant